Lintersect --- Introduction ---

This is a computing exercise on the intersection of two affine subspaces (lines, planes, or hyperplanes) in a plane or a space of higher dimension. It can present the two starting subspaces under several forms, and can ask you to describe the intersection under one of several forms.

The case where the intersection is a unique point is often quite easy. Otherwise, computations of linear algebra will often be necessary to solve the exercise.

Set up
  • Type of intersection:
  • The first subspace (smaller) will be presented by
  • The second subspace (bigger) will be presented by
  • And you should describe the intersection by

Attention. The condition on integer coordinates/coefficients may considerably increase the difficulty of the problem.

Other exercises on:
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